The description of magnetization dynamics in nanomagnetic structures, governed by the Landau-Lifschitz-Gilbert (LLG) equation, is based on works by Berger and Slonczewski assuming a spin-polarized current [1]}, [2]}. In the presence of a constant applied field and a spin-polarized current, the dynamics driven by the joint action of magnetic field and spin torque can be studied by adding a spin-transfer term in the direction of the current (current-perpendicular-to-plane (CPP) configuration). In case of a spatially uniform magnetization, the resulting Landau-Lifschitz-Gilbert-Slonczewski (LLGS) equation for unit vector fields \((m_1,m_2,m_3)=m=m(x,t) \in \mathbb {S}^2\)  (cf. Figure REF ) reads
\(\partial _t m- \alpha m\times \partial _t m= -m\times h_{\textnormal {eff}} + m\times \left(m\times J\right).\qquad \mathrm {(LLGS)}\) 
